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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 257400.bf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 257400.bf1 | 257400bf1 | \([0, 0, 0, -675, 7550]\) | \(-984150/143\) | \(-4942080000\) | \([]\) | \(107520\) | \(0.59051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257400.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257400.bf do not have complex multiplication.Modular form 257400.2.a.bf
sage: E.q_eigenform(10)